Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Advanced Quantum Technologies

Spontaneous Quantum Phase Synchronization in the Spin‐1/2 Heisenberg Chain System

Hanyu Zhang, Wen Zheng, Xiangmin Yu, Kun Zhou, Xudong Liao, Yangyang Ge, Zhiguo Huang, Jize Han, Shaoxiong Li, Yang Yu

Published Nov 23, 2025• 0 citations
Publisher

Abstract

ABSTRACT Quantum synchronization, characterized by correlated dynamics in coupled quantum systems, is an active field with profound implications for quantum technologies. This work investigates near‐perfect spontaneous quantum phase synchronization (QPS) within a spin‐1/2 Heisenberg chain system, a cornerstone in the study of quantum magnetism, enhancing both fundamental insights and technological prospects. We explore the dependencies of synchronization time on interaction strength and system size. Moreover, our analysis confirms the resilience of QPS against random frequency and interaction fluctuations. Intriguingly, we reveal that dephasing can enhance spontaneous QPS, presenting a paradoxical avenue for synchronization improvement. We demonstrate that QPS can attain Heisenberg‐limit precision and discuss practical implementations using superconducting quantum circuits. Our results enrich the understanding of quantum synchronization mechanisms and highlight their potential in enhancing the functionality of quantum systems, essential for both natural and engineered systems.

DOI
10.1002/qute.202500671

Related papers

Spontaneous synchronization and quantum correlation dynamics of open spin systems

Gian Luca Giorgi, Francesco Plastina, Gianluca Francica +1 more

We discuss the emergence of spontaneous synchronization for an open spin-pair system interacting only via a common environment. Under suitable conditions, and even in the presence of detuning between the natural precession frequencies of the two spins, they are shown to reach a long-lasting transient behavior where they oscillate in phase. We explore the connection between the emergence of such a behavior and the establishment of robust quantum correlations between the two spins, analyzing differences between dissipative and dephasing effects. In particular, in the regime in which synchronization occurs, quantum correlations are more robust for shorter synchronization times and this is related to a separation between system decay rates.

arXiv:1305.1816•Physical Review A•Oct 21, 2013•107 citations

Enhancing Quantum Synchronization in a Driven Qubit System Coupled to a Structured Environment

Amir Hossein Houshmand Almani, Ali Mortezapour, Alireza Nourmandipour

Abstract In this paper, the issue of Quantum Synchronization in a driven two‐level (qubit) system situated within a structured environment is examined. The findings have practical implications as it is discovered that adding a time‐dependent periodic modulation to the transition frequency of the qubit can significantly enhance quantum synchronization. The phase preference and, consequently, the phase locking conditions in the system is first discovered using the Husimi ‐function. It is revealed that combining frequency modulation and non‐Markovian effects enables us to achieve a stable phase‐locking for the system. It is shown that tuning the amplitude‐to‐frequency ratio of the modulation process on the zeros of the zeroth‐order Bessel function led to phase locking and, thus, surprisingly enhances quantum synchronization in the system. These results provide new insights into efficiently understanding phase dynamics in quantum environments.

arXiv:2412.14114•Annalen der Physik•Jul 10, 2025•1 citation

Non‐Markovian Protection and Thermal Fragility of Quantum Resources in a Spin‐1/2 Ising–Heisenberg Diamond Chain

Fadwa Benabdallah, Mahmoud Youssef Abd‐Rabbou, Mohammed Daoud A

Abstract This research investigates the dynamics of entanglement and uncertainty‐induced nonlocality (UIN) in a spin‐1/2 Ising‐Heisenberg diamond chain subjected to local non‐Markovian decoherence channels. By examining amplitude damping (AD) and random telegraph noise (RTN) in both zero and finite temperature regimes, the study reveals nuanced distinctions in the degradation and revival of quantum correlations. The interplay between intrinsic spin couplings, thermal effects, and memory‐induced coherence backflow highlights the complex behavior of quantum resources under realistic noise conditions. Concurrence emerges as a sensitive marker of entanglement recovery in dephasing environments, while uncertainty‐induced nonlocality proves more resilient in high‐temperature or dissipative regimes. The analysis further demonstrates that moderate thermal activation and external magnetic fields can nontrivially enhance or suppress quantum features depending on system parameters. These findings offer a detailed perspective on the robustness and complementarity of different quantum correlation measures, providing guiding principles for the design of thermally stable and noise‐resilient quantum information protocols.

arXiv:2506.12734•Annalen der Physik•Aug 15, 2025•2 citations

Quantum synchronization: A tutorial guide

Sourabh Lahiri, Shamik Gupta

Synchronization is a collective phenomenon in which interacting nonlinear oscillators develop a persistent relation between their phases and frequencies. In quantum systems, its description requires connecting the classical dynamics of limit-cycle oscillators with quantum fluctuations, dissipation, and the notion of phase. In this tutorial review, we offer a systematic framework for analyzing synchronization in classical and quantum dynamical systems. Starting from amplitude-phase dynamics, we introduce successively topics of relevance, such as phase locking, the Adler equation, Arnold tongues, and the Kuramoto model, and use these concepts to analyze coupled oscillators and their stability. We then formulate the corresponding description for quantum limit-cycle oscillators using Lindblad master equations and phase-space methods, with explicit examples of two and many coupled oscillators. We further discuss noise, synchronization measures, and the extreme quantum regime, including synchronization in spin systems. The emphasis throughout is on analytical derivations and a practical methodology for identifying synchronized states, determining their stability, and characterizing synchronization in quantum systems. The review is designed as a self-contained guide from which we hope that students can learn the essential concepts and techniques, while researchers can readily find the analytical tools and methodological insights needed to approach new synchronization problems.

quant-pharXiv:2609.14375•Sep 15, 2026•0 citations

Spontaneous Macroscopic Quantum Synchronization in an Ensemble of Two-level Systems

Zhen-huan Yang, Dan-Bo Zhang

Spontaneous macroscopic quantum synchronization is an emergent phenomenon where an ensemble of quantum oscillators achieves global phase coherence through the interplay of interaction and dissipation. To illuminate this phenomenon, we study an ensemble of two-level systems (TLS) and establish its associated nonlinear quantum master equation, for which self-consistent analytical solutions of quantum synchronization can be obtained. The trajectories on the Bloch sphere vividly illustrate how dissipation and interaction drive the system toward a synchronized state. We present a phase diagram for macroscopic synchronization as a function of interaction strength and the gain-to-damping ratio. Furthermore, we demonstrate full synchronization and partial synchronization between two groups of TLS with different natural frequencies. This work establishes ensemble of TLS as a remarkable system for understanding spontaneous quantum synchronization.

quant-pharXiv:2511.10920•Nov 17, 2025•0 citations

Observation of phase synchronization and alignment during free induction decay of quantum spins with Heisenberg interactions

Patrick Vorndamme, Heinz–Jürgen Schmidt, Christian Schröder +1 more

Abstract Equilibration of observables in closed quantum systems that are described by a unitary time evolution is a meanwhile well-established phenomenon apart from a few equally well-established exceptions. Here we report the surprising theoretical observation that integrable as well as non-integrable spin rings with nearest-neighbor or long-range isotropic Heisenberg interaction not only equilibrate but moreover also synchronize the directions of the expectation values of the individual spins. We highlight that this differs from spontaneous synchronization in quantum dissipative systems. Here, we observe mutual synchronization of local spin directions in closed systems under unitary time evolution. In our numerical simulations, we investigate the free induction decay of an ensemble of up toN= 25 quantum spins withs= 1/2 each by solving the time-dependent Schrödinger equation numerically exactly. Our findings are related to, but not fully explained by conservation laws of the system. Even if we cannot provide a full understanding of the phenomenon, it is very robust against for instance random fluctuations of the Heisenberg couplings and inhomogeneous magnetic fields. The observed synchronization is independent of whether the interaction is ferro- or antiferromagnetic. Synchronization is not observed with strong enough symmetry-breaking interactions such as the dipolar interaction. We also compare our results to closed-system classical spin dynamics which does not exhibit phase synchronization due to the lack of entanglement and since the fixed magnitude of individual classical spins effectively acts like additionalNconservation laws.

arXiv:2104.05748•New Journal of Physics•Jul 29, 2021•7 citations
ABSTRACT Quantum synchronization, characterized by correlated dynamics in coupled quantum systems, is an active field with profound implications for quantum technologies. This work investigates near‐perfect spontaneous quantum phase synchronization (QPS) within a spin‐1/2 Heisenberg chain system, a cornerstone in the study of quantum magnetism, enhancing both fundamental insights and technological prospects. We explore the dependencies of synchronization time on interaction strength and system size. Moreover, our analysis confirms the resilience of QPS against random frequency and interaction fluctuations. Intriguingly, we reveal that dephasing can enhance spontaneous QPS, presenting a paradoxical avenue for synchronization improvement. We demonstrate that QPS can attain Heisenberg‐limit precision and discuss practical implementations using superconducting quantum circuits. Our results enrich the understanding of quantum synchronization mechanisms and highlight their potential in enhancing the functionality of quantum systems, essential for both natural and engineered systems.
We discuss the emergence of spontaneous synchronization for an open spin-pair system interacting only via a common environment. Under suitable conditions, and even in the presence of detuning between the natural precession frequencies of the two spins, they are shown to reach a long-lasting transient behavior where they oscillate in phase. We explore the connection between the emergence of such a behavior and the establishment of robust quantum correlations between the two spins, analyzing differences between dissipative and dephasing effects. In particular, in the regime in which synchronization occurs, quantum correlations are more robust for shorter synchronization times and this is related to a separation between system decay rates.
Abstract In this paper, the issue of Quantum Synchronization in a driven two‐level (qubit) system situated within a structured environment is examined. The findings have practical implications as it is discovered that adding a time‐dependent periodic modulation to the transition frequency of the qubit can significantly enhance quantum synchronization. The phase preference and, consequently, the phase locking conditions in the system is first discovered using the Husimi ‐function. It is revealed that combining frequency modulation and non‐Markovian effects enables us to achieve a stable phase‐locking for the system. It is shown that tuning the amplitude‐to‐frequency ratio of the modulation process on the zeros of the zeroth‐order Bessel function led to phase locking and, thus, surprisingly enhances quantum synchronization in the system. These results provide new insights into efficiently understanding phase dynamics in quantum environments.
Abstract This research investigates the dynamics of entanglement and uncertainty‐induced nonlocality (UIN) in a spin‐1/2 Ising‐Heisenberg diamond chain subjected to local non‐Markovian decoherence channels. By examining amplitude damping (AD) and random telegraph noise (RTN) in both zero and finite temperature regimes, the study reveals nuanced distinctions in the degradation and revival of quantum correlations. The interplay between intrinsic spin couplings, thermal effects, and memory‐induced coherence backflow highlights the complex behavior of quantum resources under realistic noise conditions. Concurrence emerges as a sensitive marker of entanglement recovery in dephasing environments, while uncertainty‐induced nonlocality proves more resilient in high‐temperature or dissipative regimes. The analysis further demonstrates that moderate thermal activation and external magnetic fields can nontrivially enhance or suppress quantum features depending on system parameters. These findings offer a detailed perspective on the robustness and complementarity of different quantum correlation measures, providing guiding principles for the design of thermally stable and noise‐resilient quantum information protocols.
Synchronization is a collective phenomenon in which interacting nonlinear oscillators develop a persistent relation between their phases and frequencies. In quantum systems, its description requires connecting the classical dynamics of limit-cycle oscillators with quantum fluctuations, dissipation, and the notion of phase. In this tutorial review, we offer a systematic framework for analyzing synchronization in classical and quantum dynamical systems. Starting from amplitude-phase dynamics, we introduce successively topics of relevance, such as phase locking, the Adler equation, Arnold tongues, and the Kuramoto model, and use these concepts to analyze coupled oscillators and their stability. We then formulate the corresponding description for quantum limit-cycle oscillators using Lindblad master equations and phase-space methods, with explicit examples of two and many coupled oscillators. We further discuss noise, synchronization measures, and the extreme quantum regime, including synchronization in spin systems. The emphasis throughout is on analytical derivations and a practical methodology for identifying synchronized states, determining their stability, and characterizing synchronization in quantum systems. The review is designed as a self-contained guide from which we hope that students can learn the essential concepts and techniques, while researchers can readily find the analytical tools and methodological insights needed to approach new synchronization problems.
Spontaneous macroscopic quantum synchronization is an emergent phenomenon where an ensemble of quantum oscillators achieves global phase coherence through the interplay of interaction and dissipation. To illuminate this phenomenon, we study an ensemble of two-level systems (TLS) and establish its associated nonlinear quantum master equation, for which self-consistent analytical solutions of quantum synchronization can be obtained. The trajectories on the Bloch sphere vividly illustrate how dissipation and interaction drive the system toward a synchronized state. We present a phase diagram for macroscopic synchronization as a function of interaction strength and the gain-to-damping ratio. Furthermore, we demonstrate full synchronization and partial synchronization between two groups of TLS with different natural frequencies. This work establishes ensemble of TLS as a remarkable system for understanding spontaneous quantum synchronization.
Abstract Equilibration of observables in closed quantum systems that are described by a unitary time evolution is a meanwhile well-established phenomenon apart from a few equally well-established exceptions. Here we report the surprising theoretical observation that integrable as well as non-integrable spin rings with nearest-neighbor or long-range isotropic Heisenberg interaction not only equilibrate but moreover also synchronize the directions of the expectation values of the individual spins. We highlight that this differs from spontaneous synchronization in quantum dissipative systems. Here, we observe mutual synchronization of local spin directions in closed systems under unitary time evolution. In our numerical simulations, we investigate the free induction decay of an ensemble of up toN= 25 quantum spins withs= 1/2 each by solving the time-dependent Schrödinger equation numerically exactly. Our findings are related to, but not fully explained by conservation laws of the system. Even if we cannot provide a full understanding of the phenomenon, it is very robust against for instance random fluctuations of the Heisenberg couplings and inhomogeneous magnetic fields. The observed synchronization is independent of whether the interaction is ferro- or antiferromagnetic. Synchronization is not observed with strong enough symmetry-breaking interactions such as the dipolar interaction. We also compare our results to closed-system classical spin dynamics which does not exhibit phase synchronization due to the lack of entanglement and since the fixed magnitude of individual classical spins effectively acts like additionalNconservation laws.